#### Involute Gear Design Equations and Calculator

Gear Design and Engineering

The following are equations and engineering design calculator to determine critical design dimensions and features for an involute gear.

Notes:

• Number of Teeth: Between 6 and 50)
• Diametral Pitch Teeth/in. Stndard sizes: 2.5, 3, 4, 5, 6, 8, 10, 12, 16, 20, 24, 32, 40, 48
• Pressure Angle: Typically 30, 37.5, or 45 degrees

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 Involute Spline Design Calculator Input Design Data Number of Teeth Nt Diametral Pitch P teeth/in. Applied Torque (in-lb.) T in-lb. Internal diameter (if hollow) di in. Pressure angle f degrees Results Dimensional Relations Circular pitch p in./tooth Pitch diameter d in. Addendum a in. Base circle diameter db in. Circular tooth thickness t in. Diametral Pitch 1 thru 12 16 thru 48 doi (Major dia. internal) in. dre (Minor dia. External) in. b1i (Dedendum internal) in. b1e (Dedendum ext.) in. Effective Spline Length Le in. Shear Stress t psi *Shear stress and spline length are calculated based on the assumption that only 25% of the teeth make contact at any given moment.

Related:

References:

Deutschman, Michels, Wilson. Machine Design: Theory and Practice. Macmillan, 1975. Pp. 374-376.

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